Finding the Third Proportional to 21,370 and 46,426

Step by Step Solution

1. Step 1: Write the proportion equation
   21,370 : 46,426 = 46,426 : x
2. Step 2: Convert to fraction form
   21,370/46,426 = 46,426/x
3. Step 3: Cross multiply
   21,370x = 46,426 × 46,426
4. Step 4: Simplify right side
   21,370x = 2,155,373,476
5. Step 5: Solve for x
   x = 2,155,373,476/21,370
6. Step 6: Final answer
   x = 100,859.78